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Finding the Fourth Proportional to 3,647.92, 5,471.88 and 1,915.60

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Solution

The fourth proportional to 3,647.92, 5,471.88 and 1,915.60 is: 2,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.92 : 5,471.88 = 1,915.60 : x
  2. Step 2: Convert to fraction form
    3,647.92/5,471.88 = 1,915.60/x
  3. Step 3: Cross multiply
    3,647.92x = 5,471.88 × 1,915.60
  4. Step 4: Simplify right side
    3,647.92x = 10,481,933.33
  5. Step 5: Solve for x
    x = 10,481,933.33/3,647.92
  6. Step 6: Final answer
    x = 2,873.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.